#Project Eulter/Python/Problem7.py #Matthew Ellison # Created: 01-29-19 #Modified: 07-18-20 #What is the 10001th prime number? #Unless otherwise listed, all of my non-standard imports can be gotten from my pyClasses repository at https://bitbucket.org/Mattrixwv/pyClasses """ Copyright (C) 2020 Matthew Ellison This program is free software: you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation, either version 3 of the License, or (at your option) any later version. This program is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this program. If not, see . """ from Problems.Problem import Problem from Stopwatch import Stopwatch from Unsolved import Unsolved from Algorithms import getNumPrimes class Problem7(Problem): #Variables __numPrimes = 10001 #The number of the prime number desired #Functions #Constructor def __init__(self): super().__init__("What is the 10001th prime number?") self.primes = [] #Operational functions #Solve the problem def solve(self): #If the problem has already been solved do nothing and end the function if(self.solved): return #Start the timer self.timer.start() #Get the correct number of primes self.primes = getNumPrimes(self.__numPrimes) #Stop the timer self.timer.stop() #Save the results self.result = "The " + str(self.__numPrimes) + "th prime number is " + str(self.primes[self.__numPrimes - 1]) #Throw a flag to show the problem is solved self.solved = True #Reset the problem so it can be run again def reset(self): super().reset() self.primes.clear() #Gets #Returns the requested prime number def getPrime(self) -> int: #If the problem hasn't been solved throw an exception if(not self.solved): raise Unsolved("You must solve the problem before you can get the requested prime") return self.primes[len(self.primes) - 1] #If you are running this file, automatically start the correct function if __name__ == '__main__': problem = Problem7() print(problem.getDescription()) #Print the description of the problem problem.solve() #Solve the problem #Print the results print(problem.getResult()) print("It took " + problem.getTime() + " to solve this algorithm") """Results: The 10001th prime number is 104743 It took an average of 109.101 milliseconds to run this problem through 100 iterations """